A quasistatic elastic-viscoplastic contact problem with wear and frictionless

We consider here a frictionless contact problem for elastic-viscoplastic materials, in a quasi-static process. The contact with a rigid base is modeled without friction with condition of wear and damage. The damage the elastic deformations of the material is modeled by an internal variable of the body called the damage field. The problem formula is given as a system that includes a variational equation with respect to the displacement field, and a variational inequality of the parabolic type with respect to the damage field. We prove a weak solution existence and uniqueness theorem relating to the problem. The techniques employed are based on the theory of monotonic operators, followed by fixed point arguments.

• quasistatic contact
• elasto-viscoplasticity
• wear
• frictionless contact
• damage mechanics
• damage field
• parabolic variational inequalities
• weak solution existence and uniqueness
• monotone operators
• fixed point argument

• Contact Mechanics and Variational Inequalities
• Elasticity and Wave Propagation
• Adhesion, Friction, and Surface Interactions
• quasistatic contact
• elasto-viscoplasticity
• wear
• frictionless contact
• damage mechanics
• damage field
• parabolic variational inequalities
• weak solution existence and uniqueness
• Computational Theory and Mathematics
• Mechanics of Materials
• Computer Science
• Engineering